Least Common Multiple

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Find the *Least Common Multiple* (LCM) of the numbers 360 and 504.

**Answer**

$360=({2}^{3})({3}^{2})(5)$

$504=({2}^{3})({3}^{2})(7)$

The LCM of 360 and 504 is the product of the largest powers of each prime factor in both.

Thus the LCM of 360 and 504

$=({2}^{3})({3}^{2})(5)(7)$

$=2520$